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1100222412520 = 2357112930740123
BaseRepresentation
bin10000000000101010010…
…111011011011011101000
310220011212101120111100111
4100000222113123123220
5121011223414200040
62201234000344104
7142326352126360
oct20005227333350
93804771514314
101100222412520
113946689618a0
12159292315034
137c99ababb0a
143b372c419a0
151d945285dea
hex1002a5db6e8

1100222412520 has 256 divisors, whose sum is σ = 3203243366400. Its totient is φ = 330014684160.

The previous prime is 1100222412517. The next prime is 1100222412521. The reversal of 1100222412520 is 252142220011.

It is a super-2 number, since 2×11002224125202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1100222412491 and 1100222412500.

It is not an unprimeable number, because it can be changed into a prime (1100222412521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27401179 + ... + 27441301.

It is an arithmetic number, because the mean of its divisors is an integer number (12512669400).

Almost surely, 21100222412520 is an apocalyptic number.

1100222412520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100222412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601621683200).

1100222412520 is an abundant number, since it is smaller than the sum of its proper divisors (2103020953880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100222412520 is a wasteful number, since it uses less digits than its factorization.

1100222412520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40488 (or 40484 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 1100222412520 its reverse (252142220011), we get a palindrome (1352364632531).

The spelling of 1100222412520 in words is "one trillion, one hundred billion, two hundred twenty-two million, four hundred twelve thousand, five hundred twenty".